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math.NT2026
Finiteness for Ãtale Fundamental Groups of Néron Models
Frank Lu
In this paper, we prove that the étale fundamental group of the Néron model of an abelian variety over a number field is the semidirect product of a finite group with the ét…
math.NT2025
Special Cases of the Shafarevich Conjecture for Complete Intersections in Abelian Varieties
Frank Lu
In this paper, we prove the Shafarevich conjecture for certain complete intersections of hypersurfaces in abelian varieties defined over a number field using the Lawrence-Venka…